Chapter 12: Problem 127
Explain the important distinctions between each pair of terms: (a) adhesive and cohesive forces; (b) vaporization and condensation; (c) triple point and critical point; (d) face-centered and body-centered cubic unit cell; (e) tetrahedral and octahedral hole.
Short Answer
Expert verified
Adhesive forces are between different substances, cohesive forces are within the same substance. Vaporization is a transition from liquid to vapor absorbing heat, condensation is from vapor to liquid, releasing heat. The triple point is where all three phases coexist in equilibrium, the critical point is where no phases can be distinguished. In a face-centered cubic unit cell, atoms are on each corner and face, in a body-centered, atoms are at each corner and one at the center. A tetrahedral hole is surrounded by 4 atoms, while an octahedral hole is surrounded by 6 atoms.
Step by step solution
01
Distinction Between Adhesive and Cohesive Forces
Adhesive forces refer to the attraction between molecules of different substances. For instance, this force can be observed when water adheres to the glass surface. On the other hand, cohesive forces represent the force of attraction between similar molecules. An example of this force can be seen in a water droplet where water molecules stick to each other.
02
Distinction Between Vaporization and Condensation
Vaporization is a phase transition from the liquid phase to vapor which can occur through either evaporation or boiling. It is an endothermic process, meaning it absorbs heat. Condensation, on the other hand, is a phase transition from the gas phase to the liquid phase. It is an exothermic process, meaning it releases heat.
03
Distinction Between Triple Point and Critical Point
The triple point of a substance is the temperature and pressure at which the three phases (gas, liquid, and solid) of that substance coexist in thermodynamic equilibrium. The critical point, however, marks the end of the pressure-temperature curve that designates where phase boundaries between different states of matter exist. Past this point, there is no distinguishing between the liquid and gas phases.
04
Distinction Between Face-Centered and Body-Centered Cubic Unit Cell
In a face-centered cubic (fcc) unit cell, atoms are located at each corner and the center of each face of the cell. Therefore, one unit cell consists of 4 atoms. However, a body-centered cubic (bcc) unit cell has atoms at its corners and a single atom at the center of the cell structure. Thus, one unit cell has 2 atoms in total.
05
Distinction Between Tetrahedral and Octahedral Hole
A tetrahedral hole is a gap formed by four spheres (atoms or ions) arranged in a tetrahedron, while an octahedral hole is a gap surrounded by six spheres arranged in an octahedron. The difference lies in the positioning and the number of spheres (atoms or ions) that surround the hole.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Adhesive Forces
Adhesive forces describe the attraction between molecules of different substances. This can be easily observed when you see water droplets clinging to a windowpane. When rainwater hits a glass surface and stays there instead of dripping off, adhesive forces are at work. The interactions are due to the attraction between the water molecules and the molecules in the glass. This phenomenon is crucial in many applications such as glue or tape sticking to surfaces.
- Adhesive forces play an essential role in painting and ink spreading on paper.
- They are the reason why things like labels or stickers attach to objects.
Cohesive Forces
Cohesive forces refer to the attraction between molecules of the same substance. When you see a bead of water on a waxy leaf, that's cohesive forces at work. In these instances, the water molecules prefer to stick to each other rather than spread out over the leaf. Cohesive forces are responsible for surface tension, which is why small objects can sometimes float on water without sinking.
- Cohesive forces explain why water forms droplets rather than spreading all over a surface.
- They also play a part in the capillary action, such as water travelling up a plant stem.
Vaporization
Vaporization is the process where a liquid turns into a vapor. It occurs in two main ways: evaporation and boiling. Evaporation happens at the surface of the liquid, often at temperatures below the boiling point, like a puddle drying up on a sunny day. Boiling, on the other hand, happens when a liquid reaches its boiling point and vapor forms not only at the surface but throughout the entire liquid.
- Vaporization is an endothermic process, meaning it requires heat absorption.
- This process is crucial for operations like distillation used in purifying liquids.
Condensation
Condensation is the process where vapor changes into a liquid. This can be observed as dew forming on grass in the morning or water droplets on a cold glass of soda. It often occurs when vapor cools and loses energy, allowing molecules to slow down and begin to stick together or "condense."
- Condensation is an exothermic process, releasing heat to the environment.
- It plays a crucial part in the water cycle and affects weather patterns.
Triple Point
The triple point of a substance is a unique set of conditions at which the three states of matter - solid, liquid, and gas - coexist in thermodynamic equilibrium. Each substance has its own specific temperature and pressure for its triple point. For example, water's triple point occurs at 0.01°C and a pressure of 611.657 pascals.
- The triple point is used as a reference point in defining temperature scales.
- This concept is pivotal in studies involving phase transitions and thermodynamics.
Critical Point
The critical point of a substance marks the end of the phase boundary between liquid and gas. Beyond this temperature and pressure, the substance becomes a supercritical fluid, where distinct liquid and gas phases do not exist. At the critical point, properties of the liquid and vapor phases become identical. This point is essential in phase diagrams which show different states of matter.
- The critical point represents the highest temperature and pressure at which a substance can coexist as a liquid and gas.
- It is crucial in industrial processes such as the extraction of supercritical fluids used in decaffeinating coffee or extracting essential oils.
Face-Centered Cubic Unit Cell
A face-centered cubic (fcc) unit cell is a type of crystal structure where atoms are positioned at each corner and the center of each face of the cube. Materials like aluminum and copper can be found in fcc crystal structures. These structures are highly efficient in packing, with an efficiency of 74%, meaning more atoms can fit in a given volume.
- Fcc structures have 4 total atoms per unit cell.
- They exhibit properties that include high ductility and minimal slip systems, making them desirable in manufacturing.
Body-Centered Cubic Unit Cell
A body-centered cubic (bcc) unit cell features atoms at each corner of the cube with one atom in the very center. This arrangement leads to a slightly lower packing efficiency of 68%. Steel and tungsten commonly exhibit bcc structures, which are stronger and harder due to the arrangement.
- Bcc structures have 2 atoms per unit cell.
- They are known for high yield strength and are critical in making robust, durable materials.
Tetrahedral Hole
A tetrahedral hole is a gap or space in a crystal lattice that is formed by four atoms or ions arranged in a tetrahedron. These spaces can host smaller atoms or ions, allowing for the formation of various compounds and complex structures. This type of structural arrangement can impact the properties of metallic and ionic compounds.
- Tetrahedral holes are found in structures like zinc blende and help form stable complexes.
- They explain why certain alloys and compounds show unique physical properties.
Octahedral Hole
An octahedral hole is the space found in a crystal lattice surrounded by six atoms or ions, which form an octahedron. These holes can accommodate larger atoms or ions, influencing the structure and attributes of a compound. Such arrangements are common in many minerals and metals.
- Octahedral holes are an essential concept in understanding ionic crystals like sodium chloride.
- They account for the variations in density and stability of different materials.